The Following Are Costs of Advertising (In Thousands of Dollars)and $\begin{array} { c | r r r r r r r r } Cost & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \\\hline Number & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73\end{array}$

question 50

Multiple Choice

The following are costs of advertising (in thousands of dollars) and the numbers of products sold (in thousands) : $\begin{array} { c | r r r r r r r r } Cost & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \\\hline Number & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73\end{array}$
The equation of the regression line is $y = 2.78846 x + 55.7885$ . Find the coefficient of determination.

• A) \(0.2353\)
• B) \(0.5009\)
• C) \(0.7077\)
• D) \(- 0.0707\)

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Definitions:

Random Sample

A group of people selected from a broader population, where every person has the same probability of being chosen.

Sign Test

A nonparametric test used to determine if there is a median difference between two paired samples.

Matched Pairs

An experimental design technique where each treatment is given to two subjects that are as closely matched as possible, or to the same subject under different conditions.

P-value

The p-value is a statistical measure indicating the probability of observing test results at least as extreme as those observed, assuming the null hypothesis is true.